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Finding the Fourth Proportional to 31,990.41, 47,983.88 and 9,803.85

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Solution

The fourth proportional to 31,990.41, 47,983.88 and 9,803.85 is: 14,705.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,990.41 : 47,983.88 = 9,803.85 : x
  2. Step 2: Convert to fraction form
    31,990.41/47,983.88 = 9,803.85/x
  3. Step 3: Cross multiply
    31,990.41x = 47,983.88 × 9,803.85
  4. Step 4: Simplify right side
    31,990.41x = 470,426,761.94
  5. Step 5: Solve for x
    x = 470,426,761.94/31,990.41
  6. Step 6: Final answer
    x = 14,705.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.